Matches in SemOpenAlex for { <https://semopenalex.org/work/W1856841786> ?p ?o ?g. }
Showing items 1 to 83 of
83
with 100 items per page.
- W1856841786 abstract "We revisit the notion of graph complexity introduced by Pudlak, Rodl, and Savický [PRS]. Using their framework, we show that sufficiently strong superlinear monotone lower bounds for the very special class of 2-slice functions would imply superpolynomial lower bounds for some other functions. Given an n-vertex graph G, the corresponding 2-slice function f G on n variables evaluates to zero on inputs with less than two 1’s and evaluates to one on inputs with more than two 1’s. On inputs with exactly two 1’s, f G evaluates to 1 exactly when the pair of variables set to 1 corresponds to an edge in G. Combining our observations with those from [PRS], we can show, for instance, that a lower bound of n 1 + Ω(1) on the (monotone) formula size of an explicit 2-slice function f on n variables would imply a 2Ω(l) lower bound on the formula size of another explicit function g on l variables, where (l={it Theta}(log n))." @default.
- W1856841786 created "2016-06-24" @default.
- W1856841786 creator A5069623436 @default.
- W1856841786 date "1998-01-01" @default.
- W1856841786 modified "2023-09-23" @default.
- W1856841786 title "Remarks on Graph Complexity" @default.
- W1856841786 cites W1494958865 @default.
- W1856841786 cites W1530008367 @default.
- W1856841786 cites W1966278576 @default.
- W1856841786 cites W1977452695 @default.
- W1856841786 cites W1992906573 @default.
- W1856841786 cites W1995365759 @default.
- W1856841786 cites W2002068271 @default.
- W1856841786 cites W2002501531 @default.
- W1856841786 cites W2012476164 @default.
- W1856841786 cites W2023834316 @default.
- W1856841786 cites W2039559137 @default.
- W1856841786 cites W2045260280 @default.
- W1856841786 cites W2049016755 @default.
- W1856841786 cites W2051306408 @default.
- W1856841786 cites W2070678975 @default.
- W1856841786 cites W2113692909 @default.
- W1856841786 cites W2120210041 @default.
- W1856841786 cites W2129774539 @default.
- W1856841786 cites W2152772468 @default.
- W1856841786 doi "https://doi.org/10.1007/978-3-540-49382-2_29" @default.
- W1856841786 hasPublicationYear "1998" @default.
- W1856841786 type Work @default.
- W1856841786 sameAs 1856841786 @default.
- W1856841786 citedByCount "1" @default.
- W1856841786 crossrefType "book-chapter" @default.
- W1856841786 hasAuthorship W1856841786A5069623436 @default.
- W1856841786 hasConcept C114614502 @default.
- W1856841786 hasConcept C118615104 @default.
- W1856841786 hasConcept C132525143 @default.
- W1856841786 hasConcept C134306372 @default.
- W1856841786 hasConcept C14036430 @default.
- W1856841786 hasConcept C2524010 @default.
- W1856841786 hasConcept C2834757 @default.
- W1856841786 hasConcept C33923547 @default.
- W1856841786 hasConcept C77553402 @default.
- W1856841786 hasConcept C78458016 @default.
- W1856841786 hasConcept C80899671 @default.
- W1856841786 hasConcept C86803240 @default.
- W1856841786 hasConceptScore W1856841786C114614502 @default.
- W1856841786 hasConceptScore W1856841786C118615104 @default.
- W1856841786 hasConceptScore W1856841786C132525143 @default.
- W1856841786 hasConceptScore W1856841786C134306372 @default.
- W1856841786 hasConceptScore W1856841786C14036430 @default.
- W1856841786 hasConceptScore W1856841786C2524010 @default.
- W1856841786 hasConceptScore W1856841786C2834757 @default.
- W1856841786 hasConceptScore W1856841786C33923547 @default.
- W1856841786 hasConceptScore W1856841786C77553402 @default.
- W1856841786 hasConceptScore W1856841786C78458016 @default.
- W1856841786 hasConceptScore W1856841786C80899671 @default.
- W1856841786 hasConceptScore W1856841786C86803240 @default.
- W1856841786 hasLocation W18568417861 @default.
- W1856841786 hasOpenAccess W1856841786 @default.
- W1856841786 hasPrimaryLocation W18568417861 @default.
- W1856841786 hasRelatedWork W1682673340 @default.
- W1856841786 hasRelatedWork W2065868027 @default.
- W1856841786 hasRelatedWork W2181355034 @default.
- W1856841786 hasRelatedWork W2185718957 @default.
- W1856841786 hasRelatedWork W2266668300 @default.
- W1856841786 hasRelatedWork W2359371306 @default.
- W1856841786 hasRelatedWork W2403335336 @default.
- W1856841786 hasRelatedWork W258677105 @default.
- W1856841786 hasRelatedWork W2626013949 @default.
- W1856841786 hasRelatedWork W2740732396 @default.
- W1856841786 hasRelatedWork W2794887178 @default.
- W1856841786 hasRelatedWork W2912052665 @default.
- W1856841786 hasRelatedWork W2962710723 @default.
- W1856841786 hasRelatedWork W2963511265 @default.
- W1856841786 hasRelatedWork W2972131259 @default.
- W1856841786 hasRelatedWork W3041251342 @default.
- W1856841786 hasRelatedWork W3126450979 @default.
- W1856841786 hasRelatedWork W3170725852 @default.
- W1856841786 hasRelatedWork W3211926474 @default.
- W1856841786 hasRelatedWork W2401168064 @default.
- W1856841786 isParatext "false" @default.
- W1856841786 isRetracted "false" @default.
- W1856841786 magId "1856841786" @default.
- W1856841786 workType "book-chapter" @default.